138131385080000
138,131,385,080,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138131385080000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 560 divisors.
138131385080000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 138131385080000:
26 × 54 × 13 × 47 × 1861 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 47 × 1861 × 3037)See below for interesting mathematical facts about the number 138131385080000 from the Numbermatics database.
Names of 138131385080000
- Cardinal: 138131385080000 can be written as One hundred thirty-eight trillion, one hundred thirty-one billion, three hundred eighty-five million, eighty thousand.
Scientific notation
- Scientific notation: 1.3813138508 × 1014
Factors of 138131385080000
Divisors of 138131385080000
- Number of divisors d(n): 560
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 47 50 52 64 65 80 94 100 104 125 130 160 188 200 208 235 250 260 320 325 376 400 416 470 500 520 611 625 650 752 800 832 940 1000 1040 1175 1222 1250 1300 1504 1600 1625 1861 1880 2000 2080 2350 2444 2500 2600 3008 3037 3055 3250 3722 3760 4000 4160 4700 4888 5000 5200 5875 6074 6110 6500 7444 7520 8000 8125 9305 9400 9776 10000 10400 11750 12148 12220 13000 14888 15040 15185 15275 16250 18610 18800 19552 20000 20800 23500 24193 24296 24440 26000 29375 29776 30370 30550 32500 37220 37600 39104 39481 40000 46525 47000 48386 48592 48880 52000 58750 59552 60740 61100 65000 74440 75200 75925 76375 78962 87467 93050 94000 96772 97184 97760 104000 117500 119104 120965 121480 122200 130000 142739 148880 151850 152750 157924 174934 186100 188000 193544 194368 195520 197405 232625 235000 241930 242960 244400 260000 285478 297760 303700 305500 315848 349868 372200 376000 379625 381875 387088 394810 437335 465250 470000 483860 485920 488800 520000 570956 595520 604825 607400 611000 631696 699736 713695 744400 759250 763750 774176 789620 874670 930500 940000 967720 971840 977600 987025 1137071 1141912 1163125 1209650 1214800 1222000 1263392 1399472 1427390 1488800 1518500 1527500 1548352 1579240 1749340 1855607 1861000 1880000 1898125 1935440 1974050 2186675 2274142 2283824 2326250 2419300 2429600 2444000 2526784 2798944 2854780 2977600 3024125 3037000 3055000 3158480 3498680 3568475 3711214 3722000 3796250 3870880 3948100 4373350 4548284 4567648 4652500 4838600 4859200 4888000 4935125 5597888 5651857 5685355 5709560 6048250 6074000 6110000 6316960 6997360 7136950 7422428 7444000 7592500 7741760 7896200 8746700 9096568 9135296 9278035 9305000 9677200 9870250 10933375 11303714 11370710 11419120 12096500 12148000 12220000 12633920 13994720 14273900 14844856 14888000 15120625 15185000 15792400 17493400 17842375 18193136 18556070 18610000 19354400 19740500 21866750 22607428 22741420 22838240 24193000 24296000 24440000 24675625 27989440 28259285 28426775 28547800 29689712 30241250 30370000 31584800 34986800 35684750 36386272 37112140 37220000 38708800 39481000 43733500 45214856 45482840 45676480 46390175 48386000 49351250 54666875 56518570 56853550 57095600 59379424 60482500 60740000 63169600 69973600 71369500 72772544 73474141 74224280 74440000 78962000 87467000 89211875 90429712 90965680 92780350 96772000 98702500 109333750 113037140 113707100 114191200 118758848 120965000 121480000 139947200 141296425 142133875 142739000 146948282 148448560 157924000 174934000 178423750 180859424 181931360 185560700 193544000 197405000 218667500 226074280 227414200 228382400 231950875 241930000 265637279 282592850 284267750 285478000 293896564 296897120 315848000 349868000 356847500 361718848 363862720 367370705 371121400 394810000 437335000 452148560 454828400 463901750 483860000 531274558 565185700 568535500 570956000 587793128 593794240 699736000 706482125 710669375 713695000 734741410 742242800 789620000 874670000 904297120 909656800 927803500 967720000 1062549116 1130371400 1137071000 1141912000 1159754375 1175586256 1328186395 1412964250 1421338750 1427390000 1469482820 1484485600 1579240000 1749340000 1808594240 1819313600 1836853525 1855607000 2125098232 2260742800 2274142000 2319508750 2351172512 2656372790 2825928500 2842677500 2854780000 2938965640 2968971200 3453284627 3498680000 3532410625 3673707050 3711214000 4250196464 4521485600 4548284000 4639017500 4702345024 5312745580 5651857000 5685355000 5709560000 5877931280 6640931975 6906569254 7064821250 7347414100 7422428000 8500392928 9042971200 9096568000 9184267625 9278035000 10625491160 11303714000 11370710000 11755862560 13281863950 13813138508 14129642500 14694828200 14844856000 17000785856 17266423135 18368535250 18556070000 21250982320 22607428000 22741420000 23511725120 26563727900 27626277016 28259285000 29389656400 33204659875 34532846270 36737070500 37112140000 42501964640 45214856000 45482840000 45921338125 53127455800 55252554032 56518570000 58779312800 66409319750 69065692540 73474141000 74224280000 85003929280 86332115675 91842676250 106254911600 110505108064 113037140000 117558625600 132818639500 138131385080 146948282000 166023299375 172664231350 183685352500 212509823200 221010216128 226074280000 265637279000 276262770160 293896564000 332046598750 345328462700 367370705000 425019646400 431660578375 531274558000 552525540320 587793128000 664093197500 690656925400 734741410000 863321156750 1062549116000 1105051080640 1328186395000 1381313850800 1469482820000 1726642313500 2125098232000 2158302891875 2656372790000 2762627701600 2938965640000 3453284627000 4316605783750 5312745580000 5525255403200 6906569254000 8633211567500 10625491160000 13813138508000 17266423135000 27626277016000 34532846270000 69065692540000 138131385080000
- Sum of all divisors σ(n): 377043513753984
- Sum of proper divisors (its aliquot sum) s(n): 238912128673984
- 138131385080000 is an abundant number, because the sum of its proper divisors (238912128673984) is greater than itself. Its abundance is 100780743593984
Bases of 138131385080000
- Binary: 111110110100001001110000010001111011000110000002
- Hexadecimal: 0x7DA13823D8C0
- Base-36: 1CYOOK8A0W
Squares and roots of 138131385080000
- 138131385080000 squared (1381313850800002) is 19080279544119246606400000000
- 138131385080000 cubed (1381313850800003) is 2635585441142782502428121592512000000000000
-
The
square root of 138131385080000 is 11752930.9144570403 -
The
cube root of 138131385080000 is 51692.8871288377
Scales and comparisons
How big is 138131385080000?- 138,131,385,080,000 seconds is equal to 4,392,150 years, 40 weeks, 2 days, 20 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,131,385,080,000 would take you about ten million, nine hundred eighty thousand, three hundred seventy-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138131385080000 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138131385080000
- 138131385080000 backwards is 000080583131831
- The number of decimal digits it has is: 15
- The sum of 138131385080000's digits is 41
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138131385080000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138131385080000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138131385080000/
Chicago style:
Numbermatics. 2024. "Number 138131385080000 - Facts about the integer". https://numbermatics.com/n/138131385080000/
The information we have on file for 138131385080000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138131385080000, math, Factors of 138131385080000, curriculum, school, college, exams, university, Prime factorization of 138131385080000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-one billion, three hundred eighty-five million, eighty thousand.